Details

Time bar (total: 6.4s)

sample31.0ms

Algorithm
intervals
Results
11.0ms331×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
5.0ms
(/ t (- 1.0 z))
26.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series96.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ t (- 1.0 z))
55.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0346447
11353419
25001417

prune341.0ms

Filtered
75 candidates to 53 candidates (29.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New621375
Fresh000
Picked101
Done000
Total631376

Merged error: 0.4b

Counts
76 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
2.7b
(* x (neg (/ t (- 1.0 z))))
5.5b
(* x (/ y z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
5.0ms
(/ t (- 1.0 z))
14.0ms
(* x (neg (/ t (- 1.0 z))))
8.0ms
(* x (/ y z))

series216.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
45.0ms
(/ t (- 1.0 z))
72.0ms
(* x (neg (/ t (- 1.0 z))))
23.0ms
(* x (/ y z))

simplify83.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0674868
13164809
25002808

prune1.2s

Filtered
159 candidates to 118 candidates (25.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1545159
Fresh7512
Picked101
Done000
Total16210172

Merged error: 0.0b

Counts
172 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.5b
(/ 1 (/ (- 1.0 z) t))
3.9b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
138×add-sqr-sqrt
114×*-un-lft-identity
71×add-cube-cbrt
26×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
18×add-exp-log
16×associate-*r*
12×add-cbrt-cube
8×div-exp associate-/l*
7×div-inv
6×pow1
4×cbrt-undiv
3×associate-*r/ associate-*l* add-log-exp
2×distribute-rgt-in sub-neg rec-exp flip3-- frac-2neg distribute-lft-in 1-exp clear-num flip-- associate-/l/
1×pow-flip div-sub pow-prod-down prod-exp associate-/r/ *-commutative frac-sub cbrt-unprod inv-pow unswap-sqr
Counts
3 → 176
Calls
3 calls:
5.0ms
(/ (- 1.0 z) t)
11.0ms
(/ 1 (/ (- 1.0 z) t))
43.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series127.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- 1.0 z) t)
36.0ms
(/ 1 (/ (- 1.0 z) t))
51.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify82.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06941329
132241081
250011078

prune880.0ms

Filtered
185 candidates to 100 candidates (45.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1841185
Fresh279
Picked011
Done000
Total1869195

Merged error: 0b

Counts
195 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.7b
(* x (neg (/ t (- 1.0 z))))
5.3b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
68×associate-*r*
53×add-sqr-sqrt
51×*-un-lft-identity
48×times-frac
39×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
15×pow1 cbrt-prod
13×prod-exp cbrt-unprod
7×pow-prod-down
6×distribute-lft-out-- difference-of-squares
4×associate-*l* associate-/r/ add-log-exp
3×cbrt-undiv div-exp div-inv
2×flip3-- pow1/3 associate-*r/ *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac unswap-sqr
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* x (neg (/ t (- 1.0 z))))
15.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series530.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt y)
206.0ms
(cbrt y)
71.0ms
(* x (neg (/ t (- 1.0 z))))
46.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify101.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
0689898
13778746
25001709

prune1.0s

Filtered
144 candidates to 105 candidates (27.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1440144
Fresh077
Picked011
Done011
Total1449153

Merged error: 0b

Counts
153 → 9

regimes649.0ms

Accuracy

71.8% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 4.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04730
15130
25230
35230

end0.0ms

sample757.0ms

Algorithm
intervals
Results
340.0ms10099×body80valid

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